Finding the Third Proportional to 77,667 and 112,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,667 : 112,732.50 = 112,732.50 : x
2. Step 2: Convert to fraction form
   77,667/112,732.50 = 112,732.50/x
3. Step 3: Cross multiply
   77,667x = 112,732.50 × 112,732.50
4. Step 4: Simplify right side
   77,667x = 12,708,616,556.25
5. Step 5: Solve for x
   x = 12,708,616,556.25/77,667
6. Step 6: Final answer
   x = 163,629.55